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Finding the Fourth Proportional to 333,668.56, 499,247.16 and 234,023.20

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Solution

The fourth proportional to 333,668.56, 499,247.16 and 234,023.20 is: 350,154.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,668.56 : 499,247.16 = 234,023.20 : x
  2. Step 2: Convert to fraction form
    333,668.56/499,247.16 = 234,023.20/x
  3. Step 3: Cross multiply
    333,668.56x = 499,247.16 × 234,023.20
  4. Step 4: Simplify right side
    333,668.56x = 116,835,417,974.11
  5. Step 5: Solve for x
    x = 116,835,417,974.11/333,668.56
  6. Step 6: Final answer
    x = 350,154.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.